Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.
Note that

in the given closed interval, so the area is exactly given by the definite integral

(no absolute values needed!)
Integrating gives
Answer:
solution set is (x,y) = (7,6)
Step-by-step explanation:
solving by substitution method
2x +y=20--------------1
6x-5y=12---------------2
from equation 1, solve for y
2x+y=20
y= 20-2x------equation 3
adding value of y in equation 2
6x-5y=12
6x-5(20-2x)=12
6x-100+10x=12
16x= 12+100
16x= 112
x= 112/16
x=7
adding value of x in equation 3
y= 20-2x
y= 20- 2(7)
y=20-14
y=6
so solution set (x,y) = (7,6)
Answer:
mean= 90
Step-by-step explanation:
The mean is the terms added together, then divided by the number of terms (in this case, 8):

Done.